c^2+6ch-27h^2=0

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Solution for c^2+6ch-27h^2=0 equation: 


Simplifying
c2 + 6ch + -27h2 = 0

Reorder the terms:
6ch + c2 + -27h2 = 0

Solving
6ch + c2 + -27h2 = 0

Solving for variable 'c'.

Factor a trinomial.
(c + -3h)(c + 9h) = 0


Subproblem 1
Set the factor '(c + -3h)' equal to zero and attempt to solve:

Simplifying
c + -3h = 0

Solving
c + -3h = 0

Move all terms containing c to the left, all other terms to the right.

Add '3h' to each side of the equation.
c + -3h + 3h = 0 + 3h

Combine like terms: -3h + 3h = 0
c + 0 = 0 + 3h
c = 0 + 3h
Remove the zero:
c = 3h

Simplifying
c = 3h

Subproblem 2
Set the factor '(c + 9h)' equal to zero and attempt to solve:

Simplifying
c + 9h = 0

Solving
c + 9h = 0

Move all terms containing c to the left, all other terms to the right.

Add '-9h' to each side of the equation.
c + 9h + -9h = 0 + -9h

Combine like terms: 9h + -9h = 0
c + 0 = 0 + -9h
c = 0 + -9h
Remove the zero:
c = -9h

Simplifying
c = -9h
Solution
c = {3h, -9h}

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